A student moves through the school library in the following way. Starting from the main door, she walks 5 m due east to the reference desk, then 12 m due north to the science shelf, next 5 m due west to the history shelf, and finally 9 m due south to the reading table.
Answer the questions given below:
(i) Draw a rough sketch of the student\'s path, marking all the distances and turns.
(ii) Calculate the total distance travelled by the student.
(iii) Determine the magnitude and direction of the net displacement of the student from the main door.